NIPPON GOMU KYOKAISHI
Print ISSN : 0029-022X
Volume 56, Issue 6
Displaying 1-6 of 6 articles from this issue
  • [in Japanese]
    1983 Volume 56 Issue 6 Pages 337-349
    Published: 1983
    Released on J-STAGE: July 09, 2007
    JOURNAL FREE ACCESS
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  • Yoshitaka UDAGAWA
    1983 Volume 56 Issue 6 Pages 350-357
    Published: 1983
    Released on J-STAGE: July 09, 2007
    JOURNAL FREE ACCESS
    The origin of the small angle x-ray diffraction peak obtained from vulcanized rubber samples has been investigated in detail. The changes in the small angle x-ray diffraction peak, which are caused by such treatments on vulcanized rubber samples as swelling, stretch-relaxation, heat and extraction, have been measured. In addition to these, the examination of the effect of compound ingredients on small angle x-ray diffraction has been made. Taking the analytical results of the extract into consideration, it has been cocluded that the small angle x-ray diffraction peak obtained from vulcanized rubber samples is caused by the reaction product during vulcanization, which is basicaly zinc stearate, and that the peak is not related to sulfur cross-links directly. This leads us to consider that it would be necessarly to reconsider the "B phase (collectively cross linked rubber phase)" in the "Heterogeneous model of rubbers", which is experimentaly supported by the existence of a small angle x-ray diffraction peak.
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  • Noboru YOSHIDA
    1983 Volume 56 Issue 6 Pages 358-368
    Published: 1983
    Released on J-STAGE: July 09, 2007
    JOURNAL FREE ACCESS
    Theoretically the value of elastic constants for isotropic materials can be determined with the knowledge of any two elastic constants, from either of the following equation (1).
    ν=1/2-E/6B, E=2G(1+ν) (1) when, E: Young′s modulus, E=σ/ε, σ: Stress, ε: Strain, G: Shear modulus, B: Bulk modulus, ν: Poisson′s ratio.
    The rubber deformation takes place without change in volumes so that obtained equation (2).
    ν=0.5, E=3G (2)
    Bartenev shows equation (3) when large deformation of the rubber.
    σ=E(1-λ-1), λ=1+ε (3)
    But from (2) and (3) obtained equation (4) σ=3G(1-λ-1) did not fit for experimental data by Treloar stress-strain curve. σ=G(λ-λ-2) also famous equation but the experiment failed of success at tensile side to Treloar data.
    My idea is defined rubber-like Poisson′s ratio (νR) and rubber-like Young′s modulus (ER), (νR)=ε′/ε =(1-1/√<λ>)/(λ-1), (ER)=2G(1+(νR))…(5), and (ER) relation input Bartenev equation (3), gained σ-λ formula (6), σ=2G(1-λ-1.5).
    This equation (6) shows very close agreement to the Treloar tensile and compression data in the pragmatic strain region from about 2>λ>0.5.
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  • Noboru YOSHIDA, Kiyokazu SAKAI
    1983 Volume 56 Issue 6 Pages 369-381
    Published: 1983
    Released on J-STAGE: July 09, 2007
    JOURNAL FREE ACCESS
    Tohara has shown that for the shapes of rubber commonly used under compression, and with bonded end faces, the compressive stress σ is given by
    σ=G(λ-λ-2)•f(S) (2)
    where f(S) is a shape function. When G is shear modulus, λ is compression and tension ratio, and the shape factor S defined as the ratio of one loaded area to the total force-free area.
    Tohara used for f(S) the Hattori function(2).
    f(S)=1+2.19S2 (squar section) f(S)=1+1.65S2 (circular section)} (2)
    But (2) or the others function did not fit for experimental data, so that this paper study's function is fomula (3) by factor α and β.
    f3(S)=1+αSβ (3)
    Bonded end faces rubber under extention, stress-strain relation did not fit for equation (1) and (3), so that my former report function (4) apply to this paper.
    σ=2G(1-λ-1.5)•f3(S) (4)
    note, 1. at compression (λ-λ-2)_??_2(1-λ-1.5)
    2. example α and β for (3)
    NR pure gum rubber (squar section) λ=2.2, β=π/2
    NR HS65°(circular section) λ=1.5, β=π/2
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  • M. L. Studebaker, J. R. Beatty, [in Japanese]
    1983 Volume 56 Issue 6 Pages 382-396
    Published: 1983
    Released on J-STAGE: July 09, 2007
    JOURNAL FREE ACCESS
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  • [in Japanese]
    1983 Volume 56 Issue 6 Pages 397-398
    Published: 1983
    Released on J-STAGE: July 09, 2007
    JOURNAL RESTRICTED ACCESS
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